Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608bq |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.9939459468576E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50467179,137991112090] |
[a1,a2,a3,a4,a6] |
Generators |
[-128130:14045570:27] |
Generators of the group modulo torsion |
j |
4760617885089919932457/133756441657344 |
j-invariant |
L |
9.3524371533604 |
L(r)(E,1)/r! |
Ω |
0.15675010779549 |
Real period |
R |
7.4580787256065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998629 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7326i2 19536bd2 |
Quadratic twists by: -4 -3 |